Answer:
a) It is clear that point A is located at x = -2, and y = -1, therefore, the coordinates of point A are: A(-2, -1)
b) We can plot the point B (-2, 4) on the grid at x = -2 and y = 4.
Please check the attached graph.
c) The coordinates of the midpoint of AB: [tex]\left(-2,\:\frac{3}{2}\right)[/tex]
Step-by-step explanation:
Part a)
Important Tip:
- The coordinates of point A can be determined by checking the location of point A.
It is clear that point A is located at x = -2, and y = -1, therefore, the coordinates of point A are:
Part b)
We can plot the point B (-2, 4) on the grid at x = -2 and y = 4.
Please check the attached graph.
Part c)
We can determine the coordinates of the midpoint of AB using the formula
[tex]M.P_{AB}=\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]
In our case, we have:
A(x₁, y₁) = A(-2, -1)
B(x₂, y₂) = B (-2, 4)
so substituting [tex]\left(x_1,\:y_1\right)=\left(-2,\:-1\right),\:\left(x_2,\:y_2\right)=\left(-2,\:4\right)[/tex] in the formula
[tex]M.P_{AB}=\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]
[tex]=\left(\frac{-2-2}{2},\:\frac{4-2}{2}\right)[/tex]
Refine
[tex]=\left(-2,\:\frac{3}{2}\right)[/tex]
Therefore, the coordinates of the midpoint of AB: [tex]\left(-2,\:\frac{3}{2}\right)[/tex]
